Given a string of digits, calculate the largest product for a contiguous substring of digits of length n.
For example, for the input
'1027839564', the largest product for a series of 3 digits is 270
(9 * 5 * 6), and the largest product for a series of 5 digits is 7560
(7 * 8 * 3 * 9 * 5).
Note that these series are only required to occupy adjacent positions in the input; the digits need not be numerically consecutive.
For the input
the largest product for a series of 6 digits is 23520.
For a series of zero digits, the largest product is 1 because 1 is the multiplicative identity. (You don't need to know what a multiplicative identity is to solve this problem; it just means that multiplying a number by 1 gives you the same number.)
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